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Finding the Third Proportional to 83,158 and 130,547

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Solution

The third proportional to 83,158 and 130,547 is: 204,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158 : 130,547 = 130,547 : x
  2. Step 2: Convert to fraction form
    83,158/130,547 = 130,547/x
  3. Step 3: Cross multiply
    83,158x = 130,547 × 130,547
  4. Step 4: Simplify right side
    83,158x = 17,042,519,209
  5. Step 5: Solve for x
    x = 17,042,519,209/83,158
  6. Step 6: Final answer
    x = 204,941.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.